[2][2][2]. If both lim⁡x→cf(x)\displaystyle \lim_{x\to c} f(x)x→clim​f(x) and lim⁡x→cg(x)\displaystyle \lim_{x\to c} g(x)x→clim​g(x) do not exist, then it is impossible for lim⁡x→c(f(x)+g(x))\displaystyle \lim_{x\to c} (f(x)+g(x))x→clim​(f(x)+g(x)) to exist.